Question

Figure ABCD is rotated by 180 degrees about the origin in the counterclockwise direction to obtain figure A′B′C′D′:

Answer 1

Answer: Length of AB = Length of A′B′

Step-by-step explanation:

Given : Figure ABCD is rotated by 180 degrees about the origin in the counterclockwise direction to obtain figure A′B′C′D′.

We know that a rotation is a rigid motion which does not changes shape and size of the figure.

It means the corresponding side lengths are equal.

Thus , if  Figure ABCD is rotated to form A′B′C′D′, then the corresponding sides of both of them are equal.

i.e. Length of AB = Length of A′B′

Length of BC = Length of B′C′

Length of CD = Length of C′D′

Length of DA = Length of D′A′

Hence, the statement best compares the lengths of the sides of the two figures :  Length of AB = Length of A′B′

Answer 2

Answer:

Length of AB=Length of A'B' because they are corresponding sides.

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